This site uses cookie tracking technologies. Learn more in our Cookie Policy.
During target practice, each arrow is independent.
| Archer | Probability of hitting the bullseye |
|---|---|
| Mia | |
| Noah |
Mia shoots two arrows. Noah shoots four arrows.
Provide an expression in terms of for the probability that Noah misses at least one of his four arrows.
Two fair spinners are used in a game. Spinner has sectors labelled 1, 2 and 3. Spinner has sectors labelled 2, 3 and 4. The score for each pair of outcomes is the product of the two numbers, as shown in Table 1.
Table 1
Two fair spinners are used in a game. Spinner A has sectors labelled 1, 2 and 4. Spinner B has sectors labelled 2, 3 and 5. The total score for each pair of outcomes is shown in Table 1.
Table 1
Noah tosses three unbiased coins and spins a fair spinner with four equal sectors labelled , , , and . His score is the number of tails shown plus the number on the spinner.
The table below shows the distribution of parcels delivered per day by a group of bicycle couriers surveyed during a festival week in Amsterdam.
Practice IB Mathematics Applications & Interpretation (AI) Topic SL 4.5—trial and Outcome with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.5—trial and Outcome and mirrors Paper 1, 2, 3 style where relevant.
Get instant solutions, detailed explanations, and build confidence with questions aligned to IB examiner expectations.
| P / Q | 2 | 3 | 4 |
|---|
| 1 | 2 | 3 | 4 |
| 2 | 4 | 6 | 8 |
| 3 | 6 | 9 | 12 |
Scores are classified as starter, regular or premium.
These 9 outcomes are summarized in the cumulative frequency table, Table 2.
Table 2
| Category | Cumulative frequency |
|---|---|
| starter | 4 |
| regular | |
| premium |
Fill in the missing values in the cumulative frequency table.
the probability that a randomly selected score is not starter.
Given that a player has a premium score, the probability that the score is exactly 12.
| A / B | 2 | 3 | 5 |
|---|
| 1 | 3 | 4 | 6 |
| 2 | 4 | 5 | 7 |
| 4 | 6 | 7 | 9 |
Scores are classified as bronze, silver or gold.
These 9 outcomes are summarized in the cumulative frequency table, Table 2.
Table 2
| Category | Cumulative frequency |
|---|---|
| bronze | 3 |
| silver | |
| gold |
Fill in the missing values in the cumulative frequency table.
the probability that a randomly selected score is not bronze.
Given that a player has a gold score, the probability that the total score is exactly 7.
Find the probability that Noah's score is .
| Parcels | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|
| Frequency | 3 | 6 | 10 | 14 | 23 | 21 | 13 | 7 | 3 |
A courier is chosen at random from the group of couriers.
A second courier is chosen at random from the group of couriers.
The time taken by the couriers to complete a standard route was normally distributed with a mean of minutes and a standard deviation of minutes.
The couriers were selected for the survey by randomly choosing names from the full company list using a computer generator.
Find the mean number of parcels delivered by the couriers.
Find the standard deviation of the number of parcels delivered.
Find the median number of parcels delivered by the couriers.
Find the interquartile range.
